Iterates of a class of discrete linear operators via contraction principle

2 years ago

(original), Approximation Theory, Basic sequences (binomial sequences), Fixed point theory, Linear and positive approximation operators, not-at-ICTP, paper

Abstract

In this paper we are concerned with a general class of positive linear operators of discrete type. Based on the results of the weakly Picard operators theory our aim is to study the convergence of the iterates of the defined operators and some approximation properties of our class as well. Some special cases in connection with binomial type operators are also revealed.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

linear positive operators, contraction principle, weakly Picard operators, delta operators, operators of binomial type.

Paper coordinates

O. Agratini, I.A. Rus, Iterates of a class of discrete linear operators via contraction principle, Commentationes Mathematicae Universitatis Carolinae 44 (3), 555-563

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